The diagrammatic Soergel category and sl(2) and sl(3) foams
arXiv:0909.3495
Abstract
We define two functors from Elias and Khovanov's diagrammatic Soergel category, one targeting Clark-Morrison-Walker's category of disoriented sl(2) cobordisms and the other the category of (universal) sl(3) foams.
v4, minor changes, referee's comments implemented. v3, 20 pages, lots of figures, remark about the general case rewritten, one redundant relation removed from definition of SC1 and minor typos